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Finding the Third Proportional to 1,421,152 and 3,044,896

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Solution

The third proportional to 1,421,152 and 3,044,896 is: 6,523,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,152 : 3,044,896 = 3,044,896 : x
  2. Step 2: Convert to fraction form
    1,421,152/3,044,896 = 3,044,896/x
  3. Step 3: Cross multiply
    1,421,152x = 3,044,896 × 3,044,896
  4. Step 4: Simplify right side
    1,421,152x = 9,271,391,650,816
  5. Step 5: Solve for x
    x = 9,271,391,650,816/1,421,152
  6. Step 6: Final answer
    x = 6,523,856.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.